Mark Chaplin raises a good point. To make the drive up to Dornoch and play just one or two courses in that area before heading to the northeast corner of Scotland seems like a mistake to me.
If you play Royal Dornoch once, you will want to play it again. Include rounds at Brora, Golspie and Tain as well as Nairn and/or Castle Stuart. Stopping off at Boat of Garten is a good choice when driving north or south on the A9 highway.
Save Royal Aberdeen, Murcar, Cruden Bay, Fraserburgh, etc. for another visit.
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I would also agree with David Tepper and Mark Chaplin. In fact, I played Dornoch with them.
My wife and I went to Scotland for our 25th wedding anniversary September 2013 and I ended up playing: Eden, Jubilee, St Andrews Old, Crail Balcomie, Golspie, Royal Dornoch (4 rounds), Brora, Cruden Bay and North Berwick. They were all good – including Eden other than four holes.
I planned to play multiple rounds at Dornoch based upon what I had read and heard from friends, and it occurred to me that as Donald Ross' home course growing up Dornoch may be the Scottish course that affected (good!) golf architecture in the United States the most. When I came home I raved about the course and area so much that three friends made the trip last year, and one joined the club!
If you are in the highlands Brora is a special golf experience and not to be missed. Say hello to the heifer that my wife hit on the first hole.
Golspie was probably the biggest surprise – a very fun golf course in a beautiful setting with several excellent holes. Really worth playing, probably a great afternoon course after Dornoch in the AM.
I would play North Berwick multiple times as well. Along with Dornoch, these two courses are really worth getting to know, not just seeing once and checking them off the list.
On the way to North Berwick from Edinburgh I stopped along “Scotland’s Golf Coast” at Musselburgh Links Old, Longniddry, Kilspindie, and walked up Gullane hill to the 7th tee. It was a fun drive.
It was a lot of travelling, but we only stayed one night in one place - all others multiple nights. We wanted to see some of the country anyway.
Have fun!
Wm Flynnfan